Cobordisms of graphs: A sliceness criterion for stably odd free knots and related results on cobordisms

Denis A. Fedoseev, Vassily O. Manturov

Результат исследования: Научные публикации в периодических изданияхстатья

1 Цитирования (Scopus)

Аннотация

In [1], the authors proved a sliceness criterion for odd free knots: free knots with odd chords. In the present paper, we give a similar criterion for stably odd free knots. In essence, free knots may be considered as framed 4-graphs. That leads to an important notion of framed 4-graph cobordism and the associated notion of graph genera. Some additional results on graph and free knot sliceness and cobordism are given.

Язык оригиналаанглийский
Номер статьи1842011
Число страниц24
ЖурналJournal of Knot Theory and its Ramifications
Том27
Номер выпуска13
DOI
СостояниеОпубликовано - 1 ноя 2018

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